In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based on new chaotic system. Also this encryption algorithm can be used for gray scale or binary images. The experimental results of the encryption algorithm show...

The aim of this paper is to prove the following results: a continuous map f : [0, 1]→ [0, 1] is chaotic iff the shift map σf : lim ← ([0, 1], f)→ lim ← ([0, 1], f) is chaotic. However, this result fails, in general, for arbitrary compact metric spaces. σf : lim ← ([0, 1], f) → lim ← ([0, 1], f) is chaotic iff there exists an increasing sequence of positive integers A such that the topological s...

The special properties of the chaos make the chaotic encryption technology to be an important research field of information science and technology. However, because digital chaos is affected by finite precision of computer, chaos system properties present degradation—short periodicity. This paper firstly analyses reason that causes strong autocorrelation of digital chaotic sequence, then uses s...

This paper throws light on chaotic shift keying-based speech encryption and decryption method. In this method, the input speech signals are sampled and its values are segmented into four levels, namely L0, L1, L2, and L3. Each level of sampled values is permuted using four chaotic generators such as logistic map, tent map, quadratic map, and Bernoulli’s map. A chaotic shift keying mechanism ass...

In this article, we further consider the above system. In particular, we give a sufficient condition under which the above system is Kato chaotic for $eta=0$ and a necessary condition for the above system to be Kato chaotic for $eta=0$. Moreover, it is deduced that for $eta=0$, if $Theta$ is P-chaotic then so is this system, where a continuous map $Theta$ from a compact metric space $Z$ to itse...

Number of cryptosystems based on chaos has been proposed, in recent years. Tao Xiang , Kwok-wo Wong, Xiaofeng Liao in 2008 proposed an improved scheme by using a symmetric key block cipher algorithm in which one-dimensional chaotic maps are used, in order to obtain chaotic sequences with better cryptographic feature. In this system, an encryption /decryption scheme was proposed, a cryptographic...